#### Answer

$y \text{ is a function of }x
\\\text{Domain: }
\left( -\infty,\infty \right)
\\\text{a linear function}$

#### Work Step by Step

$\bf{\text{Solution Outline:}}$
To determine if the given equation, $
y=3x-3
,$ check if $x$ is unique for every value of $y.$
To find the domain, find the set of all possible values of $x.$
A linear function is any equation where the highest exponent of all the variables is $1.$
$\bf{\text{Solution Details:}}$
For each value of $x,$ multiplying by $3$ and then subtracting by $3$ will produce a single value of $y.$ Hence, $y$ is a function of $x.$
The variable $x$ can take any value. Hence, the domain is the set of all real numbers.
The highest exponent of all the variables in the given equation is $1.$ Hence, it is a linear function.
The given equation has the following characteristics:
\begin{array}{l}\require{cancel}
y \text{ is a function of }x
\\\text{Domain: }
\left( -\infty,\infty \right)
\\\text{a linear function}
.\end{array}